64 citations · 945 across the 94 of their papers we have counts for
44 papers · 1 filter
The algebraic structure behind the derivative nonlinear Schroedinger equation
G. S. Franca, J. F. Gomes, A. H. Zimerman
The Kaup-Newell (KN) hierarchy contains the derivative nonlinear Schr\" odinger equation (DNLSE) amongst others interesting and important nonlinear integrable equations. In this pa…
N=1 super sinh-Gordon model in the half line: Breather solutions
A. R. Aguirre, J. F. Gomes, L. H. Ymai +1
We examine the N=1 super sinh-Gordon (SShG) model restricted into the half line through a reduction from the defect SShG model. The Bäcklund transformations are employed to generat…
The higher grading structure of the WKI hierarchy and the two-component short pulse equation
G. S. Franca, J. F. Gomes, A. H. Zimerman
A higher grading affine algebraic construction of integrable hierarchies, containing the Wadati-Konno-Ichikawa (WKI) hierarchy as a particular case, is proposed. We show that a two…
Negative Even Grade mKdV Hierarchy and its Soliton Solutions
J. F. Gomes, G. Starvaggi Franca, G. R. de Melo +1
In this paper we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated to even graded Lie algebraic structure. We pr…
Super WZNW with Reductions to Supersymmetric and Fermionic Integrable Models
J. F. Gomes, D. M. Schmidtt, A. H. Zimerman
A systematic construction for an action describing a class of supersymmetric integrable models as well as for pure fermionic theories is discussed in terms of the gauged WZNW model…
Integrablility of a Classical Super Sinh-Gordon Model with Jump Defects
J. F. Gomes, L. H. Ymai, A. H. Zimerman
The Lagrangian formalism for the N=2 supersymmetric sinh-Gordon model with a jump defect is considered. The modified conserved momentum and energy are constructed in terms of borde…